en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(3)+4ln(h)

Solution

simplify

2 ln (3) + 4 ln (h)

Solution

ln (9 h^{4})

Solution steps

2 ln (3) + 4 ln (h)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (3) = ln (3^{2})

= ln (3^{2}) + 4 ln (h)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

4 ln (h) = ln (h^{4})

= ln (3^{2}) + ln (h^{4})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (3^{2}) + ln (h^{4}) = ln (3^{2} h^{4})

= ln (3^{2} h^{4})

3^{2} = 9

= ln (9 h^{4})

Popular Examples

simplify 5ln(m)-3ln(n)simplify

5 ln (m) - 3 ln (n)

simplify ln^2(x)+ln(x)-6 simplify

ln^{2} (x) + ln (x) - 6

join 1/2 log_{4}(5)join

\frac{1}{2} lo g_{4} (5)

simplify 2log_{b}(m)-log_{b}(n)simplify

2 lo g_{b} (m) - lo g_{b} (n)

simplify ln((2x)/y)simplify

ln (\frac{2 x}{y})

Frequently Asked Questions (FAQ)

What is 2ln(3)+4ln(h) ?
The solution to 2ln(3)+4ln(h) is ln(9h^4)